Question

find the slope of line x/3+y/2=1

Answer 1

Answer:

-2/3

Step-by-step explanation:

     x/3+y/2 = 1

or,  y/2 = 1-x/3

or,  y  =  2 - 2x/3

or,  y = -2x/3 + 2          [in y= mx+c format]

∴ slope (m) = -2/3

Answer 2

The slope of line x/3 + y/2 = 1 is - 2/3

Given :

The equation of the line x/3 + y/2 = 1

To find :

The slope of the line

Solution :

Step 1 of 3 :

Write down the given equation of the line

The given equation of the line is

$\displaystyle \sf{ \frac{x}{3} + \frac{y}{2} = 1 }$

Step 2 of 3 :

Express in slope - intercept form

The given equation of the line can be rewritten as

$\displaystyle \sf{ \frac{x}{3} + \frac{y}{2} = 1 }$

$\displaystyle \sf{ \implies \frac{y}{2} = - \frac{x}{3} + 1 }$

$\displaystyle \sf{ \implies y = - \frac{2x}{3} + 2 }$

$\displaystyle \sf{ \implies y = - \frac{2}{3} x + 2 }$

Which is of the form y = mx + c

Where m = Slope of the line = - 2/3

c = y - intercept of the line = 2

Step 3 of 3 :

Find slope of the line

The slope of the line = m = - 2/3

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Find the point where the graph of 0.25x + 0.05y =1.00 intersects the y-axis:

https://brainly.in/question/26332017

2. Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

https://brainly.in/question/25257443

3. Find the slope of the line perpendicular to the line AB, if A is (3, 3) and B is (-1, 1)

https://brainly.in/question/27031626